Dr. McLoughlins Math 545 Correlation Handout, page 1 of 4
MATH 545
DR. MCLOUGHLINS CLASS
STATISTICAL FORMULAE FOR CORRELATION
HANDOUT VIII
Recall we are attempting to estimate parameters in a population (e.g.: a population mean ,
a population variance , a
Math 301 Probability and Statistics - Dr. McLoughlins Class Joint Probability Distributions page 1 of 11
MATH 301 PROBABILITY AND STATISTICS
DR. MCLOUGHLINS HANDY DANDY GUIDE TO
JOINT PROBABILITY DISTRIBUTIONS
HANDOUT 5
We have now discussed discrete and
Math 301 Handout 1 Page 1
Handout 1
Some Axioms
Math 301
Winter 2000
M. P. M. M. McLoughlin
Recall from Set Theory that every set, A, is a subset of some well defined universe, U.
So, for probability theory we rename the universe as a sample space [the sp
Math 302 Probability and Statistics II - McLoughlins Class Handout 2, page 1 of 3
MATH 302 PROBABILITY AND STATISTICS II
DR. MCLOUGHLINS CLASS
MORE JOINT PDF OR PMF RESULTS
MGFS AND BEGINNING SAMPLING THEORY
HANDOUT 2
The Normal bivariate joint random var
Math 301 Probability and Statistics I Dr. McLoughlins Class Handout II 1/2, page 1 of 3
MATH 301 PROBABILITY AND STATISTICS I
DR. MCLOUGHLINS CLASS
MOMENT GENERATING FUNCTIONS (MGFS) FOR RANDOM VARIABLES
HANDOUT 2
Definition 2.5.1: Let X be a discrete ra
.
Handout on Some Statistical Formulae we use implicitly in SPSS or Minitab, McLoughlin, page 1
Statistical Formulae:
Let X ~ f X (x) which is a well defined probability mass function (if X is discrete) or probability density
function (if X is continuous)
Dr. McLoughlins Math 545 T Formulae, page 1 of 4
MATH 545
DR. MCLOUGHLINS CLASS
STATISTICAL FORMULAE FOR T-TEST
HANDOUT IX
We are called upon many times to determine if the mean performance of two groups are significantly
different. When attempting to det
Dr. McLoughlin Math 545 Statistical Formulae, page 1
MATH 545
DR. MCLOUGHLINS CLASS
STATISTICAL FORMULAE
HANDOUT 3
Let D = cfw_X1, X2, X3, . . . , Xn be a finite data set.
Let X1, X2, X3, . . . , Xn be a finite random sample for X.
1
The arithmetic mean o
Dr. McLoughlin Math 545 Regression Formulae Draft 1, page 1 of 2
MATH 545
DR. MCLOUGHLINS CLASS
REGRESSION FORMULAE
HANDOUT VI DRAFT 1
Let U = S be a well defined universe (the sample space) for our work S will always be able to
be a subset of (the reals,
Math 545 Statistical Inference & Sampling Theory - Dr. McLoughlins Class, page 1 of 17
MATH 545
STATISTICAL INFERENCE &
SAMPLING THEORY
HANDOUT 5
Note: The basic building block of probability is set theory:
Suppose we have a well defined sample space S (a
Math 545 - McLoughlins Class Measurement Scales, page 1 of 4
MATH 545
DR. MCLOUGHLINS CLASS
MEASUREMENT SCALES
HANDOUT I
A whole point to studying probability and statistics is the analysis of data. So, when
one is studying variables it is important to un
Math 302 Probability and Statistics II - McLoughlins Class Handout 3, page 1 of 3
Math 302 Probability and Statistics II
Dr. McLoughlins Class
The Pivotal Method
Handout 3
As we have stated (and understand one hopes) the point to studying probability and
Math 545 - McLoughlins Class Measures of Central Tendency, page 1 of 5
MATH 545
DR. MCLOUGHLINS CLASS
MEASURES OF CENTRAL TENDENCY OR LOCATION
HANDOUT II
Now, we are studying probability and statistics. We are considering random
variables as defined in ha
Math 545, Dr. McLoughlin, Handout 4, Page 1 of 8
HANDOUT 4
SOME AXIOMS
MATH 545 STATISTICAL INFERENCE AND SAMPLING THEORY
M. P. M. M. MCLOUGHLIN
Recall from Set Theory that every set, A, is a subset of some well defined universe, U.
So, for probability th
Math 545 Sampling Dr. McLoughlins Class Handout 7, page 1 of 2
MATH 545 DR. MCLOUGHLINS CLASS
SOME SAMPLING DISTRIBUTION RESULTS
HANDOUT VII
Let n, p, , , , , , , , c be constants.
Theorem 1 (DeMoivre - Laplace) : Let X ~ Bin (x, n, p). Let Y =
X np
.
np(
MATH 545 FALL 2010 WORKSHEET I
NAME:_
(please print legibly)
Let the data be described as X1, X2, X3, X4 (as in problem 1), as X1, X2, X3, X4, . . . , X9 (as in problem 2) etc.
1. Let
U = S = (the sample space is the integers). Let the data set be D1 = cf